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Finding the Fourth Proportional to 358,462.80, 537,694.20 and 148,251.60

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Solution

The fourth proportional to 358,462.80, 537,694.20 and 148,251.60 is: 222,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,462.80 : 537,694.20 = 148,251.60 : x
  2. Step 2: Convert to fraction form
    358,462.80/537,694.20 = 148,251.60/x
  3. Step 3: Cross multiply
    358,462.80x = 537,694.20 × 148,251.60
  4. Step 4: Simplify right side
    358,462.80x = 79,714,025,460.72
  5. Step 5: Solve for x
    x = 79,714,025,460.72/358,462.80
  6. Step 6: Final answer
    x = 222,377.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.